SI units and maths for FRCA

Question 1

Time

Answer 1

Second (s)

Question 2

Length

Answer 2

Metre (m)

Question 3

Mass

Answer 3

Kilogram (Kg)

Question 4

Electric current

Answer 4

Ampere (A)

Question 5

Temperature

Answer 5

Kelvin (K)

Question 6

Amount of substance

Answer 6

Mole (mol)

Question 7

Luminous intensity

Answer 7

Candela (cd)

Question 8

Area

Answer 8

Square metres (m2)

Question 9

Volume

Answer 9

Cubic metres (m3)

Question 10

Speed, velocity

Answer 10

Metres per second (m.s-1)

Question 11

Acceleration

Answer 11

Metres per second squared (m.s-2)

Question 12

Wave number

Answer 12

Reciprocal metres (m-1)

Question 13

Mass density

Answer 13

Kilogram per cubic metre (Kg.m-3)

Question 14

Specific volume

Answer 14

Cubic metre per kilogram (m3.Kg-1)

Question 15

Current density

Answer 15

Ampere per square metre (A.m-2)

Question 16

Magnetic field strength

Answer 16

Ampere per metre (A.m-1)

Question 17

Amount of substance concentration

Answer 17

Mole per cubic metre (mol.m-3)

Question 18

Luminance

Answer 18

Candela per square metre (cd.m-2)

Question 19

Frequency

Answer 19

Hertz (Hz) = s-1

Question 20

Force

Answer 20

Newton (N) = Kg.m.s-2

Question 21

Energy, work, quantity of heat

Answer 21

Joule (J) = N.m = Kg.m2.s-2

Question 22

Power

Answer 22

Watt (W) = J.s-1 = Kg.m2.s-3

Question 23

Electrical charge

Answer 23

Coulomb (C) = A.s

Question 24

Electric potential difference, electromotive force

Answer 24

Volt (V) = W.A-1 = Kg.m2.s-3.A-1

Question 25

Capacitance

Answer 25

Farad (F) = C.V-1 = A2.s4.Kg-1.m-2

Question 26

Electric resistance

Answer 26

Ohm (Ω) = V.A-1 = Kg.m2.A-2.s-3

Question 27

Equation for a straight line

Answer 27

y = mx + c

Question 28

Equation for a rectangular hyperbola

Answer 28

y = 1/x

Question 29

Equation for a 'tearaway' exponential

Answer 29

y = e^x

Question 30

Equation for a 'wash out' curve

Answer 30

y = e^-x

Question 31

Equation for a 'wash in' curve

Answer 31

y = 1 - e^-x

Question 32

Rules of logarithms

Answer 32

logb(M.N) = logb(M) + logb(N) logb(M/N) = logb(M) - logb(N) logb(M^K) = K.logb(M) logb(1) = 0 logb(b) = 1 logb(b^K) = K b^logb(K) = K logb(1/K) = -logb(K)

Question 33

What do differentiation and integration determine?

Answer 33

Differentiation determines the gradient of a graph at any point, and so the rate of change. Integration determines the area under a curve.